Solution Manual for 100 Genesys Design Examples: Second Edition
By Ali Behagi
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About this ebook
The Solution Manual for 100 Genesys Design Examples book is mainly written for practicing engineers and university students who know the basic theory of analog RF and microwave engineering and want to apply the theory to the analysis and design of RF and microwave circuits using the Keysight Genesys software. The book is based on the Mi
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Solution Manual for 100 Genesys Design Examples - Ali Behagi
Preface
The Second Edition of the 100 Genesys Design Examples book is mainly written for university students and practicing engineers who know the basic theory of analog RF and microwave engineering and want to apply the theory to the analysis and design of practical RF and microwave circuit design using the Keysight Genesys software. The 100 examples are taken from the Microwave and RF Engineering textbook written be same author.
The 100 Genesys Design Examples book is divided into eight chapters.
1. RF and Microwave Components
2. Transmission Line Components
3. Network Parameters and the Smith Chart
4. Resonant Circuits and Filter Design
5. Power Transfer and Impedance Matching
6. Distributed Impedance Matching
7. Single Stage Amplifier Design
8. Multi-Stage Amplifier Design
The 100 Genesys Design Examples book has an associated 100 Genesys Workspaces that comes with the book. University students and practicing engineers will find the book both as a potent learning tool and as a reference guide to quickly setup designs using the Genesys software. The author also uses CAD techniques that may not be familiar to some engineers. This includes subjects such as the frequent use of the MATLAB scripting capability.
The 100 Genesys Workspaces can be found at the following URL.
http://www.keysight.com/find/eesof-genesys-rfmw-workspaces
Chapter 1
RF and Microwave Components
1.1 Straight Wire Inductance
A conducting wire carrying an AC current produces a changing magnetic field around the wire. According to Faraday's law the changing magnetic field induces a voltage in the wire that opposes any change in the current flow. This opposition to change is called self inductance. At high frequencies even a short piece of straight wire possesses frequency dependent resistance and inductance behaving as a circuit element.
1.2 Analysis of Straight Wire in Genesys
Example 1-1: Calculate the reactance and inductance of a three inch length of AWG #28 copper wire in free space at 60 Hz, 500 Hz, and 1 GHz.
Solution: To analyze the Example in Genesys, create a schematic and add the straight wire model from the Parts Library, as shown in Figure 1-1.
Figure 1-1 Part Selector and schematic of the straight wire
Attach 50 Ohm input and output ports, set the wire diameter to 12.6 mils, wire length to 3 inches and Rho=l, as shown in Figure 1-1. Rho is not the actual resistivity of the wire but rather the resistivity of the wire relative to copper. Because we are modeling a copper wire the value should be set to one. Table 1-1 provides a reference of common materials in terms of their actual resistivity and the relative resistivity to copper.
Table 1-1 Resistivity of common materials relative to copper
Create a Linear analysis to analyze the circuit's impedance versus frequency. The Linear Analysis Properties window is shown in Figure 1-2.
Figure 1-2 Circuit analysis properties window
Create a list of frequencies under the Type of Sweep setting. Enter the frequencies of 60 Hz, 1 MHz, 1 GHz. When an analysis is run the results are written to a Dataset. The results of a Dataset may then be sent to a graph or tabular output for visualization. In this example an Equation Editor is used to post process the solutions in the Dataset. Create an Equation Editor and type equations for the calculation of the wire's reactance and inductance, as shown in Figure 1-3.
Figure 1-3 MATLAB equations for calculation of Inductance
More complex workspaces may contain multiple Datasets. It is a good practice to specify which Dataset is used to collect data for post processing. This is accomplished with the {using (Linear1_Data
)} statement of line 1 in the Equation Editor. Genesys has a built-in function ZIN1 to calculate the impedance of the circuit at each analysis frequency. Line 2 defines the reactance as the imaginary part of the impedance. Line 3 calculates the inductance from the reactance using the equation L = X/2*PI*F. The frequency, F, is the independent variable created by the Linear Analysis. Note the use of the dot (.) notation in the Equation Editor. There is a dot after Linear 1_Data and reactance of lines 2 and 3. The dot means that these variables are not singular quantities but are arrays of values. There is a calculated array value for each independent variable, F. The Equation Editor is an extremely powerful feature of the Genesys software and is used frequently throughout this text. It is an interactive mathematical processor similar to MATLAB by MathWorks. There are two different syntaxes that may be used to define equations and perform post processing operations using the Equation Editor: The Engineering Language and the MATLAB Script. The Engineering Language is a simple structured format as shown in Figure 1-3. The MATLAB Script is compatible with the m-file syntax that is used in MATLAB. It is very convenient for students and engineers that are proficient in MATLAB. Both types will be used throughout this book to demonstrate the use of both languages. Under Equation command either Engineering Language or MATLAB Script can be selected. The simulated value of variables can be displayed in a Workspace Variables window or sent to a tabular output. Figure 1-4 shows the Workspace Variables at 3 different frequencies and the same variables in tabular output.
Figure 1-4 Workspace Variables window and output Table
We can see that at 60 Hz and 1 MHz the reactance and resulting inductance are less than 1 Ohm . At 1 GHz however, the values of reactance is greater than 560 Ohm. In general as the frequency enters the RF and microwave region, the value of reactance begins to increase. This is normal and due to the skin effect of the conductor. The skin effect is a property of conductors where, as the frequency increases, the current density concentrates on the outer surface of the conductor due to a decrease in the surface